%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL796-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:56:37 AM UTC 2026
% Result : Unsatisfiable 2.56s 1.36s
% Output : Refutation 2.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of formulae : 5 ( 5 unt; 0 def)
% Number of atoms : 5 ( 1 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 1 ( 1 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-4 aty)
% Number of variables : 10 ( 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1165,axiom,
! [X2,X3,X0,X1] : hAPP(c_Type_Oshift(X0,X1,X2,X3),X1) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_shift__eq_0) ).
fof(f1167,axiom,
! [X0,X1] : c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),hAPP(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_typing_OVar_0) ).
fof(f1168,negated_conjecture,
~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),v_T_H_H____,tc_Type_Otype),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),v_T_H_H____),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1390,plain,
! [X2,X3,X0,X1] : c_Type_Otyping(c_Type_Oshift(X1,X2,X0,X3),c_Lambda_OdB_OVar(X2),X0),
inference(superposition,[],[f1167,f1165]) ).
fof(f1468,plain,
$false,
inference(resolution,[],[f1390,f1168]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL796-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n014.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 16:52:12 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.56/1.36 % (1008219)Input is clausal, will run a generic CNF schedule.
% 2.56/1.36 % (1008228)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1480946173:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.56/1.36 % (1008228)First to succeed.
% 2.56/1.36 % (1008228)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1008219"
% 2.56/1.36 % (1008224)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=339323902:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.56/1.36 % (1008225)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1178839940:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.56/1.36 % (1008226)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2797424439:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.56/1.36 % (1008229)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3211061988:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.56/1.36 % (1008227)lrs+10_1_sil=8000:sp=occurrence:random_seed=4245956534:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.56/1.36 % (1008230)dis-21_1_sil=8000:lcm=predicate:random_seed=993740246:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 2.56/1.36 % (1008227)Also succeeded, but the first one will report.
% 2.56/1.36 % (1008229)Also succeeded, but the first one will report.
% 2.56/1.36 % (1008230)Instruction limit reached!
% 2.56/1.36 % (1008230)------------------------------
% 2.56/1.36 % (1008230)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.56/1.36 % (1008230)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.56/1.36 % (1008230)CaDiCaL version: 2.1.3
% 2.56/1.36 % (1008230)Termination reason: Instruction limit
% 2.56/1.36 % (1008230)Termination phase: Saturation
% 2.56/1.36 % (1008230)Time elapsed: 0.067 s
% 2.56/1.36 % (1008230)Peak memory usage: 89 MB
% 2.56/1.36 % (1008230)Instructions burned: 118 (million)
% 2.56/1.36 % (1008228)Refutation found. Thanks to Tanya!
% 2.56/1.36 % SZS status Unsatisfiable for theBenchmark
% 2.56/1.36 % SZS output start Proof for theBenchmark
% See solution above
% 2.56/1.36 % (1008228)------------------------------
% 2.56/1.36 % (1008228)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.56/1.36 % (1008228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.56/1.36 % (1008228)CaDiCaL version: 2.1.3
% 2.56/1.36 % (1008228)Termination reason: Refutation
% 2.56/1.36 % (1008228)Time elapsed: 0.008 s
% 2.56/1.36 % (1008228)Peak memory usage: 89 MB
% 2.56/1.36 % (1008228)Instructions burned: 21 (million)
% 2.56/1.36 % (1008228)------------------------------
% 2.56/1.36 % (1008228)------------------------------
% 2.56/1.36 % (1008219)Success in time 0.317 s
% 2.56/1.36 % Vampire exiting
%------------------------------------------------------------------------------